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Given function f(x) = {1 0 < x < 1 -1 1 < x < 2 0 x > 2 Determine the Fourier Cosine Integral representation of f(x). Determine the Fourier Sine Integral representation of f(x). Determine the Fourier Integral representation of f(x) assuming that f(x) = 0 for x < 0. Determine the Fourier Cosine Transform of f(x). Determine the Fourier Sine Transform of f(x). Determine the Fourier Transform of f(x).

Given function f(x) = {1 0 < x < 1 -1 1 < x < 2 0 x > 2 Determine the Fourier Cosine Integral representation of f(x). Determine the Fourier Sine Integral representation of f(x). Determine the Fourier Integral representation of f(x) assuming that f(x) = 0 for x < 0. Determine the Fourier Cosine Transform of f(x). Determine the Fourier Sine Transform of f(x). Determine the Fourier Transform of f(x).

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Given function f(x) = {1 0 < x < 1 -1 1 < x < 2 0 x > 2 Determine the Fourier Cosine Integral representation of f(x). Determine the Fourier Sine Integral representation of f(x). Determine the Fourier Integral representation of f(x) assuming that f(x) = 0 for x < 0. Determine the Fourier Cosine Transform of f(x). Determine the Fourier Sine Transform of f(x). Determine the Fourier Transform of f(x).

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